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Remarks on the two-mode approximation to the nonlinear behavior of pressure oscillations in combustion chambers

Culick, F. E. C. and Paparizos, L. (1976) Remarks on the two-mode approximation to the nonlinear behavior of pressure oscillations in combustion chambers. .

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This paper summarizes recent work on the approximation to nonlinear pressure oscillations using two modes. A large part of the effort has been concerned with the consequences of gasdynamic nonlinearities of second order in the fluctuations. It appears that the two-mode approximation is valid over a broad range of the linear parameters that govern the global qualitative behavior, particularly if the lower mode is the unstable mode. Exact solutions have been found for the existence and stability of limit cycles, allowing meaningful comparison with numerical solutions obtained with larger numbers of modes considered. The nonlinear analysis to second order does not contain "triggering" - nonlinear instability of a linearly stable system - because the nonlinear processes order terms involving the mean flow speed, or DC shifts in the amplitudes of oscillation do produce triggering.

Item Type:Report or Paper (Working Paper)
Additional Information:© 1976. This work was supported by Caltech funds and by the Office of Naval Research, Contract N00014-84-K-0434. Approved for public release; distribution is unlimited.
Group:Guggenheim Jet Propulsion Center, GALCIT
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-84-K-0434
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Guggenheim Jet Propulsion Center UNSPECIFIED
Record Number:CaltechAUTHORS:20110207-102353008
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22050
Deposited By: Ruth Sustaita
Deposited On:08 Feb 2011 16:17
Last Modified:23 Aug 2021 23:24

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